Answer to Question #86793 in Microeconomics for Zanele Moyo

Question

The market supply curves and market demand curves for books are given as follows:
Supply curve: P = 0.000002Q Demand curve: P = 11 – 0.00002Q
The short-run marginal cost curve: MC = 0.1 + 0.0009Q
Assuming all firms in the market are identical, how many firms are producing books?
1. 5 firms
2. 50 firms
3. 500 firms
4. Given the information provided, it cannot be determined.

Answer 1

Individual firm will produce such output, for which MR = MC.

MR = TR' = (P*Q)' = 11 - 0.0004Q,

11 - 0.00004Q = 0.1 + 0.0009Q,

0.00094Q = 10.9,

Q = 11,596 units.

Market is in equilibrium, when Qd = Qs or Pd = Ps, so:

0.000002Q = 11 - 0.00002Q,

0.000022Q = 11,

Q = 500,000 units.

So, the number of firms is 500,000/11,596 = 43.

That's why the nearest answer is 2. 50 firms.